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Finding the Third Proportional to 65,329.50 and 97,740.75

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Solution

The third proportional to 65,329.50 and 97,740.75 is: 146,231.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,329.50 : 97,740.75 = 97,740.75 : x
  2. Step 2: Convert to fraction form
    65,329.50/97,740.75 = 97,740.75/x
  3. Step 3: Cross multiply
    65,329.50x = 97,740.75 × 97,740.75
  4. Step 4: Simplify right side
    65,329.50x = 9,553,254,210.56
  5. Step 5: Solve for x
    x = 9,553,254,210.56/65,329.50
  6. Step 6: Final answer
    x = 146,231.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.